33382164480 has 768 divisors, whose sum is σ = 129918297600. Its totient is φ = 7156531200.

The previous prime is 33382164479. The next prime is 33382164559. The reversal of 33382164480 is 8446128333.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×33382164480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 330516430 + ... + 330516530.

It is an arithmetic number, because the mean of its divisors is an integer number (169164450).

Almost surely, 2^33382164480 is an apocalyptic number.

33382164480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33382164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64959148800).

33382164480 is an abundant number, since it is smaller than the sum of its proper divisors (96536133120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33382164480 is a wasteful number, since it uses less digits than its factorization.

33382164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 33382164480 in words is "thirty-three billion, three hundred eighty-two million, one hundred sixty-four thousand, four hundred eighty".